5. Primitive Type Representations
HPACK encoding uses two primitive types: unsigned variable-length integers and strings of octets.5.1. Integer Representation
Integers are used to represent name indexes, header field indexes, or string lengths. An integer representation can start anywhere within an octet. To allow for optimized processing, an integer representation always finishes at the end of an octet. An integer is represented in two parts: a prefix that fills the current octet and an optional list of octets that are used if the integer value does not fit within the prefix. The number of bits of the prefix (called N) is a parameter of the integer representation. If the integer value is small enough, i.e., strictly less than 2^N-1, it is encoded within the N-bit prefix.
0 1 2 3 4 5 6 7 +---+---+---+---+---+---+---+---+ | ? | ? | ? | Value | +---+---+---+-------------------+ Figure 2: Integer Value Encoded within the Prefix (Shown for N = 5) Otherwise, all the bits of the prefix are set to 1, and the value, decreased by 2^N-1, is encoded using a list of one or more octets. The most significant bit of each octet is used as a continuation flag: its value is set to 1 except for the last octet in the list. The remaining bits of the octets are used to encode the decreased value. 0 1 2 3 4 5 6 7 +---+---+---+---+---+---+---+---+ | ? | ? | ? | 1 1 1 1 1 | +---+---+---+-------------------+ | 1 | Value-(2^N-1) LSB | +---+---------------------------+ ... +---+---------------------------+ | 0 | Value-(2^N-1) MSB | +---+---------------------------+ Figure 3: Integer Value Encoded after the Prefix (Shown for N = 5) Decoding the integer value from the list of octets starts by reversing the order of the octets in the list. Then, for each octet, its most significant bit is removed. The remaining bits of the octets are concatenated, and the resulting value is increased by 2^N-1 to obtain the integer value. The prefix size, N, is always between 1 and 8 bits. An integer starting at an octet boundary will have an 8-bit prefix. Pseudocode to represent an integer I is as follows: if I < 2^N - 1, encode I on N bits else encode (2^N - 1) on N bits I = I - (2^N - 1) while I >= 128 encode (I % 128 + 128) on 8 bits I = I / 128 encode I on 8 bits
Pseudocode to decode an integer I is as follows: decode I from the next N bits if I < 2^N - 1, return I else M = 0 repeat B = next octet I = I + (B & 127) * 2^M M = M + 7 while B & 128 == 128 return I Examples illustrating the encoding of integers are available in Appendix C.1. This integer representation allows for values of indefinite size. It is also possible for an encoder to send a large number of zero values, which can waste octets and could be used to overflow integer values. Integer encodings that exceed implementation limits -- in value or octet length -- MUST be treated as decoding errors. Different limits can be set for each of the different uses of integers, based on implementation constraints.5.2. String Literal Representation
Header field names and header field values can be represented as string literals. A string literal is encoded as a sequence of octets, either by directly encoding the string literal's octets or by using a Huffman code (see [HUFFMAN]). 0 1 2 3 4 5 6 7 +---+---+---+---+---+---+---+---+ | H | String Length (7+) | +---+---------------------------+ | String Data (Length octets) | +-------------------------------+ Figure 4: String Literal Representation A string literal representation contains the following fields: H: A one-bit flag, H, indicating whether or not the octets of the string are Huffman encoded. String Length: The number of octets used to encode the string literal, encoded as an integer with a 7-bit prefix (see Section 5.1).
String Data: The encoded data of the string literal. If H is '0', then the encoded data is the raw octets of the string literal. If H is '1', then the encoded data is the Huffman encoding of the string literal. String literals that use Huffman encoding are encoded with the Huffman code defined in Appendix B (see examples for requests in Appendix C.4 and for responses in Appendix C.6). The encoded data is the bitwise concatenation of the codes corresponding to each octet of the string literal. As the Huffman-encoded data doesn't always end at an octet boundary, some padding is inserted after it, up to the next octet boundary. To prevent this padding from being misinterpreted as part of the string literal, the most significant bits of the code corresponding to the EOS (end-of-string) symbol are used. Upon decoding, an incomplete code at the end of the encoded data is to be considered as padding and discarded. A padding strictly longer than 7 bits MUST be treated as a decoding error. A padding not corresponding to the most significant bits of the code for the EOS symbol MUST be treated as a decoding error. A Huffman-encoded string literal containing the EOS symbol MUST be treated as a decoding error.6. Binary Format
This section describes the detailed format of each of the different header field representations and the dynamic table size update instruction.6.1. Indexed Header Field Representation
An indexed header field representation identifies an entry in either the static table or the dynamic table (see Section 2.3). An indexed header field representation causes a header field to be added to the decoded header list, as described in Section 3.2. 0 1 2 3 4 5 6 7 +---+---+---+---+---+---+---+---+ | 1 | Index (7+) | +---+---------------------------+ Figure 5: Indexed Header Field
An indexed header field starts with the '1' 1-bit pattern, followed by the index of the matching header field, represented as an integer with a 7-bit prefix (see Section 5.1). The index value of 0 is not used. It MUST be treated as a decoding error if found in an indexed header field representation.6.2. Literal Header Field Representation
A literal header field representation contains a literal header field value. Header field names are provided either as a literal or by reference to an existing table entry, either from the static table or the dynamic table (see Section 2.3). This specification defines three forms of literal header field representations: with indexing, without indexing, and never indexed.6.2.1. Literal Header Field with Incremental Indexing
A literal header field with incremental indexing representation results in appending a header field to the decoded header list and inserting it as a new entry into the dynamic table. 0 1 2 3 4 5 6 7 +---+---+---+---+---+---+---+---+ | 0 | 1 | Index (6+) | +---+---+-----------------------+ | H | Value Length (7+) | +---+---------------------------+ | Value String (Length octets) | +-------------------------------+ Figure 6: Literal Header Field with Incremental Indexing -- Indexed Name
0 1 2 3 4 5 6 7 +---+---+---+---+---+---+---+---+ | 0 | 1 | 0 | +---+---+-----------------------+ | H | Name Length (7+) | +---+---------------------------+ | Name String (Length octets) | +---+---------------------------+ | H | Value Length (7+) | +---+---------------------------+ | Value String (Length octets) | +-------------------------------+ Figure 7: Literal Header Field with Incremental Indexing -- New Name A literal header field with incremental indexing representation starts with the '01' 2-bit pattern. If the header field name matches the header field name of an entry stored in the static table or the dynamic table, the header field name can be represented using the index of that entry. In this case, the index of the entry is represented as an integer with a 6-bit prefix (see Section 5.1). This value is always non-zero. Otherwise, the header field name is represented as a string literal (see Section 5.2). A value 0 is used in place of the 6-bit index, followed by the header field name. Either form of header field name representation is followed by the header field value represented as a string literal (see Section 5.2).6.2.2. Literal Header Field without Indexing
A literal header field without indexing representation results in appending a header field to the decoded header list without altering the dynamic table. 0 1 2 3 4 5 6 7 +---+---+---+---+---+---+---+---+ | 0 | 0 | 0 | 0 | Index (4+) | +---+---+-----------------------+ | H | Value Length (7+) | +---+---------------------------+ | Value String (Length octets) | +-------------------------------+ Figure 8: Literal Header Field without Indexing -- Indexed Name
0 1 2 3 4 5 6 7 +---+---+---+---+---+---+---+---+ | 0 | 0 | 0 | 0 | 0 | +---+---+-----------------------+ | H | Name Length (7+) | +---+---------------------------+ | Name String (Length octets) | +---+---------------------------+ | H | Value Length (7+) | +---+---------------------------+ | Value String (Length octets) | +-------------------------------+ Figure 9: Literal Header Field without Indexing -- New Name A literal header field without indexing representation starts with the '0000' 4-bit pattern. If the header field name matches the header field name of an entry stored in the static table or the dynamic table, the header field name can be represented using the index of that entry. In this case, the index of the entry is represented as an integer with a 4-bit prefix (see Section 5.1). This value is always non-zero. Otherwise, the header field name is represented as a string literal (see Section 5.2). A value 0 is used in place of the 4-bit index, followed by the header field name. Either form of header field name representation is followed by the header field value represented as a string literal (see Section 5.2).6.2.3. Literal Header Field Never Indexed
A literal header field never-indexed representation results in appending a header field to the decoded header list without altering the dynamic table. Intermediaries MUST use the same representation for encoding this header field. 0 1 2 3 4 5 6 7 +---+---+---+---+---+---+---+---+ | 0 | 0 | 0 | 1 | Index (4+) | +---+---+-----------------------+ | H | Value Length (7+) | +---+---------------------------+ | Value String (Length octets) | +-------------------------------+ Figure 10: Literal Header Field Never Indexed -- Indexed Name
0 1 2 3 4 5 6 7 +---+---+---+---+---+---+---+---+ | 0 | 0 | 0 | 1 | 0 | +---+---+-----------------------+ | H | Name Length (7+) | +---+---------------------------+ | Name String (Length octets) | +---+---------------------------+ | H | Value Length (7+) | +---+---------------------------+ | Value String (Length octets) | +-------------------------------+ Figure 11: Literal Header Field Never Indexed -- New Name A literal header field never-indexed representation starts with the '0001' 4-bit pattern. When a header field is represented as a literal header field never indexed, it MUST always be encoded with this specific literal representation. In particular, when a peer sends a header field that it received represented as a literal header field never indexed, it MUST use the same representation to forward this header field. This representation is intended for protecting header field values that are not to be put at risk by compressing them (see Section 7.1 for more details). The encoding of the representation is identical to the literal header field without indexing (see Section 6.2.2).6.3. Dynamic Table Size Update
A dynamic table size update signals a change to the size of the dynamic table. 0 1 2 3 4 5 6 7 +---+---+---+---+---+---+---+---+ | 0 | 0 | 1 | Max size (5+) | +---+---------------------------+ Figure 12: Maximum Dynamic Table Size Change A dynamic table size update starts with the '001' 3-bit pattern, followed by the new maximum size, represented as an integer with a 5-bit prefix (see Section 5.1).
The new maximum size MUST be lower than or equal to the limit determined by the protocol using HPACK. A value that exceeds this limit MUST be treated as a decoding error. In HTTP/2, this limit is the last value of the SETTINGS_HEADER_TABLE_SIZE parameter (see Section 6.5.2 of [HTTP2]) received from the decoder and acknowledged by the encoder (see Section 6.5.3 of [HTTP2]). Reducing the maximum size of the dynamic table can cause entries to be evicted (see Section 4.3).7. Security Considerations
This section describes potential areas of security concern with HPACK: o Use of compression as a length-based oracle for verifying guesses about secrets that are compressed into a shared compression context. o Denial of service resulting from exhausting processing or memory capacity at a decoder.7.1. Probing Dynamic Table State
HPACK reduces the length of header field encodings by exploiting the redundancy inherent in protocols like HTTP. The ultimate goal of this is to reduce the amount of data that is required to send HTTP requests or responses. The compression context used to encode header fields can be probed by an attacker who can both define header fields to be encoded and transmitted and observe the length of those fields once they are encoded. When an attacker can do both, they can adaptively modify requests in order to confirm guesses about the dynamic table state. If a guess is compressed into a shorter length, the attacker can observe the encoded length and infer that the guess was correct. This is possible even over the Transport Layer Security (TLS) protocol (see [TLS12]), because while TLS provides confidentiality protection for content, it only provides a limited amount of protection for the length of that content. Note: Padding schemes only provide limited protection against an attacker with these capabilities, potentially only forcing an increased number of guesses to learn the length associated with a given guess. Padding schemes also work directly against compression by increasing the number of bits that are transmitted.
Attacks like CRIME [CRIME] demonstrated the existence of these general attacker capabilities. The specific attack exploited the fact that DEFLATE [DEFLATE] removes redundancy based on prefix matching. This permitted the attacker to confirm guesses a character at a time, reducing an exponential-time attack into a linear-time attack.7.1.1. Applicability to HPACK and HTTP
HPACK mitigates but does not completely prevent attacks modeled on CRIME [CRIME] by forcing a guess to match an entire header field value rather than individual characters. Attackers can only learn whether a guess is correct or not, so they are reduced to brute-force guesses for the header field values. The viability of recovering specific header field values therefore depends on the entropy of values. As a result, values with high entropy are unlikely to be recovered successfully. However, values with low entropy remain vulnerable. Attacks of this nature are possible any time that two mutually distrustful entities control requests or responses that are placed onto a single HTTP/2 connection. If the shared HPACK compressor permits one entity to add entries to the dynamic table and the other to access those entries, then the state of the table can be learned. Having requests or responses from mutually distrustful entities occurs when an intermediary either: o sends requests from multiple clients on a single connection toward an origin server, or o takes responses from multiple origin servers and places them on a shared connection toward a client. Web browsers also need to assume that requests made on the same connection by different web origins [ORIGIN] are made by mutually distrustful entities.7.1.2. Mitigation
Users of HTTP that require confidentiality for header fields can use values with entropy sufficient to make guessing infeasible. However, this is impractical as a general solution because it forces all users of HTTP to take steps to mitigate attacks. It would impose new constraints on how HTTP is used.
Rather than impose constraints on users of HTTP, an implementation of HPACK can instead constrain how compression is applied in order to limit the potential for dynamic table probing. An ideal solution segregates access to the dynamic table based on the entity that is constructing header fields. Header field values that are added to the table are attributed to an entity, and only the entity that created a particular value can extract that value. To improve compression performance of this option, certain entries might be tagged as being public. For example, a web browser might make the values of the Accept-Encoding header field available in all requests. An encoder without good knowledge of the provenance of header fields might instead introduce a penalty for a header field with many different values, such that a large number of attempts to guess a header field value results in the header field no longer being compared to the dynamic table entries in future messages, effectively preventing further guesses. Note: Simply removing entries corresponding to the header field from the dynamic table can be ineffectual if the attacker has a reliable way of causing values to be reinstalled. For example, a request to load an image in a web browser typically includes the Cookie header field (a potentially highly valued target for this sort of attack), and web sites can easily force an image to be loaded, thereby refreshing the entry in the dynamic table. This response might be made inversely proportional to the length of the header field value. Marking a header field as not using the dynamic table anymore might occur for shorter values more quickly or with higher probability than for longer values.7.1.3. Never-Indexed Literals
Implementations can also choose to protect sensitive header fields by not compressing them and instead encoding their value as literals. Refusing to generate an indexed representation for a header field is only effective if compression is avoided on all hops. The never- indexed literal (see Section 6.2.3) can be used to signal to intermediaries that a particular value was intentionally sent as a literal.
An intermediary MUST NOT re-encode a value that uses the never- indexed literal representation with another representation that would index it. If HPACK is used for re-encoding, the never-indexed literal representation MUST be used. The choice to use a never-indexed literal representation for a header field depends on several factors. Since HPACK doesn't protect against guessing an entire header field value, short or low-entropy values are more readily recovered by an adversary. Therefore, an encoder might choose not to index values with low entropy. An encoder might also choose not to index values for header fields that are considered to be highly valuable or sensitive to recovery, such as the Cookie or Authorization header fields. On the contrary, an encoder might prefer indexing values for header fields that have little or no value if they were exposed. For instance, a User-Agent header field does not commonly vary between requests and is sent to any server. In that case, confirmation that a particular User-Agent value has been used provides little value. Note that these criteria for deciding to use a never-indexed literal representation will evolve over time as new attacks are discovered.7.2. Static Huffman Encoding
There is no currently known attack against a static Huffman encoding. A study has shown that using a static Huffman encoding table created an information leakage; however, this same study concluded that an attacker could not take advantage of this information leakage to recover any meaningful amount of information (see [PETAL]).7.3. Memory Consumption
An attacker can try to cause an endpoint to exhaust its memory. HPACK is designed to limit both the peak and state amounts of memory allocated by an endpoint. The amount of memory used by the compressor is limited by the protocol using HPACK through the definition of the maximum size of the dynamic table. In HTTP/2, this value is controlled by the decoder through the setting parameter SETTINGS_HEADER_TABLE_SIZE (see Section 6.5.2 of [HTTP2]). This limit takes into account both the size of the data stored in the dynamic table, plus a small allowance for overhead.
A decoder can limit the amount of state memory used by setting an appropriate value for the maximum size of the dynamic table. In HTTP/2, this is realized by setting an appropriate value for the SETTINGS_HEADER_TABLE_SIZE parameter. An encoder can limit the amount of state memory it uses by signaling a lower dynamic table size than the decoder allows (see Section 6.3). The amount of temporary memory consumed by an encoder or decoder can be limited by processing header fields sequentially. An implementation does not need to retain a complete list of header fields. Note, however, that it might be necessary for an application to retain a complete header list for other reasons; even though HPACK does not force this to occur, application constraints might make this necessary.7.4. Implementation Limits
An implementation of HPACK needs to ensure that large values for integers, long encoding for integers, or long string literals do not create security weaknesses. An implementation has to set a limit for the values it accepts for integers, as well as for the encoded length (see Section 5.1). In the same way, it has to set a limit to the length it accepts for string literals (see Section 5.2).8. References
8.1. Normative References
[HTTP2] Belshe, M., Peon, R., and M. Thomson, Ed., "Hypertext Transfer Protocol Version 2 (HTTP/2)", RFC 7540, DOI 10.17487/RFC7540, May 2015, <http://www.rfc-editor.org/info/rfc7540>. [RFC2119] Bradner, S., "Key words for use in RFCs to Indicate Requirement Levels", BCP 14, RFC 2119, DOI 10.17487/RFC2119, March 1997, <http://www.rfc-editor.org/info/rfc2119>. [RFC7230] Fielding, R., Ed. and J. Reschke, Ed., "Hypertext Transfer Protocol (HTTP/1.1): Message Syntax and Routing", RFC 7230, DOI 10.17487/RFC7230, June 2014, <http://www.rfc-editor.org/info/rfc7230>.
8.2. Informative References
[CANONICAL] Schwartz, E. and B. Kallick, "Generating a canonical prefix encoding", Communications of the ACM, Volume 7 Issue 3, pp. 166-169, March 1964, <https://dl.acm.org/ citation.cfm?id=363991>. [CRIME] Wikipedia, "CRIME", May 2015, <http://en.wikipedia.org/w/ index.php?title=CRIME&oldid=660948120>. [DEFLATE] Deutsch, P., "DEFLATE Compressed Data Format Specification version 1.3", RFC 1951, DOI 10.17487/RFC1951, May 1996, <http://www.rfc-editor.org/info/rfc1951>. [HUFFMAN] Huffman, D., "A Method for the Construction of Minimum- Redundancy Codes", Proceedings of the Institute of Radio Engineers, Volume 40, Number 9, pp. 1098-1101, September 1952, <http://ieeexplore.ieee.org/xpl/ articleDetails.jsp?arnumber=4051119>. [ORIGIN] Barth, A., "The Web Origin Concept", RFC 6454, DOI 10.17487/RFC6454, December 2011, <http://www.rfc-editor.org/info/rfc6454>. [PETAL] Tan, J. and J. Nahata, "PETAL: Preset Encoding Table Information Leakage", April 2013, <http://www.pdl.cmu.edu/PDL-FTP/associated/ CMU-PDL-13-106.pdf>. [SPDY] Belshe, M. and R. Peon, "SPDY Protocol", Work in Progress, draft-mbelshe-httpbis-spdy-00, February 2012. [TLS12] Dierks, T. and E. Rescorla, "The Transport Layer Security (TLS) Protocol Version 1.2", RFC 5246, DOI 10.17487/RFC5246, August 2008, <http://www.rfc-editor.org/info/rfc5246>.
Appendix A. Static Table Definition
The static table (see Section 2.3.1) consists in a predefined and unchangeable list of header fields. The static table was created from the most frequent header fields used by popular web sites, with the addition of HTTP/2-specific pseudo-header fields (see Section 8.1.2.1 of [HTTP2]). For header fields with a few frequent values, an entry was added for each of these frequent values. For other header fields, an entry was added with an empty value. Table 1 lists the predefined header fields that make up the static table and gives the index of each entry. +-------+-----------------------------+---------------+ | Index | Header Name | Header Value | +-------+-----------------------------+---------------+ | 1 | :authority | | | 2 | :method | GET | | 3 | :method | POST | | 4 | :path | / | | 5 | :path | /index.html | | 6 | :scheme | http | | 7 | :scheme | https | | 8 | :status | 200 | | 9 | :status | 204 | | 10 | :status | 206 | | 11 | :status | 304 | | 12 | :status | 400 | | 13 | :status | 404 | | 14 | :status | 500 | | 15 | accept-charset | | | 16 | accept-encoding | gzip, deflate | | 17 | accept-language | | | 18 | accept-ranges | | | 19 | accept | | | 20 | access-control-allow-origin | | | 21 | age | | | 22 | allow | | | 23 | authorization | | | 24 | cache-control | | | 25 | content-disposition | | | 26 | content-encoding | | | 27 | content-language | | | 28 | content-length | | | 29 | content-location | | | 30 | content-range | |
| 31 | content-type | | | 32 | cookie | | | 33 | date | | | 34 | etag | | | 35 | expect | | | 36 | expires | | | 37 | from | | | 38 | host | | | 39 | if-match | | | 40 | if-modified-since | | | 41 | if-none-match | | | 42 | if-range | | | 43 | if-unmodified-since | | | 44 | last-modified | | | 45 | link | | | 46 | location | | | 47 | max-forwards | | | 48 | proxy-authenticate | | | 49 | proxy-authorization | | | 50 | range | | | 51 | referer | | | 52 | refresh | | | 53 | retry-after | | | 54 | server | | | 55 | set-cookie | | | 56 | strict-transport-security | | | 57 | transfer-encoding | | | 58 | user-agent | | | 59 | vary | | | 60 | via | | | 61 | www-authenticate | | +-------+-----------------------------+---------------+ Table 1: Static Table Entries
Appendix B. Huffman Code
The following Huffman code is used when encoding string literals with a Huffman coding (see Section 5.2). This Huffman code was generated from statistics obtained on a large sample of HTTP headers. It is a canonical Huffman code (see [CANONICAL]) with some tweaking to ensure that no symbol has a unique code length. Each row in the table defines the code used to represent a symbol: sym: The symbol to be represented. It is the decimal value of an octet, possibly prepended with its ASCII representation. A specific symbol, "EOS", is used to indicate the end of a string literal. code as bits: The Huffman code for the symbol represented as a base-2 integer, aligned on the most significant bit (MSB). code as hex: The Huffman code for the symbol, represented as a hexadecimal integer, aligned on the least significant bit (LSB). len: The number of bits for the code representing the symbol. As an example, the code for the symbol 47 (corresponding to the ASCII character "/") consists in the 6 bits "0", "1", "1", "0", "0", "0". This corresponds to the value 0x18 (in hexadecimal) encoded in 6 bits. code code as bits as hex len sym aligned to MSB aligned in to LSB bits ( 0) |11111111|11000 1ff8 [13] ( 1) |11111111|11111111|1011000 7fffd8 [23] ( 2) |11111111|11111111|11111110|0010 fffffe2 [28] ( 3) |11111111|11111111|11111110|0011 fffffe3 [28] ( 4) |11111111|11111111|11111110|0100 fffffe4 [28] ( 5) |11111111|11111111|11111110|0101 fffffe5 [28] ( 6) |11111111|11111111|11111110|0110 fffffe6 [28] ( 7) |11111111|11111111|11111110|0111 fffffe7 [28] ( 8) |11111111|11111111|11111110|1000 fffffe8 [28] ( 9) |11111111|11111111|11101010 ffffea [24] ( 10) |11111111|11111111|11111111|111100 3ffffffc [30] ( 11) |11111111|11111111|11111110|1001 fffffe9 [28] ( 12) |11111111|11111111|11111110|1010 fffffea [28] ( 13) |11111111|11111111|11111111|111101 3ffffffd [30]
( 14) |11111111|11111111|11111110|1011 fffffeb [28] ( 15) |11111111|11111111|11111110|1100 fffffec [28] ( 16) |11111111|11111111|11111110|1101 fffffed [28] ( 17) |11111111|11111111|11111110|1110 fffffee [28] ( 18) |11111111|11111111|11111110|1111 fffffef [28] ( 19) |11111111|11111111|11111111|0000 ffffff0 [28] ( 20) |11111111|11111111|11111111|0001 ffffff1 [28] ( 21) |11111111|11111111|11111111|0010 ffffff2 [28] ( 22) |11111111|11111111|11111111|111110 3ffffffe [30] ( 23) |11111111|11111111|11111111|0011 ffffff3 [28] ( 24) |11111111|11111111|11111111|0100 ffffff4 [28] ( 25) |11111111|11111111|11111111|0101 ffffff5 [28] ( 26) |11111111|11111111|11111111|0110 ffffff6 [28] ( 27) |11111111|11111111|11111111|0111 ffffff7 [28] ( 28) |11111111|11111111|11111111|1000 ffffff8 [28] ( 29) |11111111|11111111|11111111|1001 ffffff9 [28] ( 30) |11111111|11111111|11111111|1010 ffffffa [28] ( 31) |11111111|11111111|11111111|1011 ffffffb [28] ' ' ( 32) |010100 14 [ 6] '!' ( 33) |11111110|00 3f8 [10] '"' ( 34) |11111110|01 3f9 [10] '#' ( 35) |11111111|1010 ffa [12] '$' ( 36) |11111111|11001 1ff9 [13] '%' ( 37) |010101 15 [ 6] '&' ( 38) |11111000 f8 [ 8] ''' ( 39) |11111111|010 7fa [11] '(' ( 40) |11111110|10 3fa [10] ')' ( 41) |11111110|11 3fb [10] '*' ( 42) |11111001 f9 [ 8] '+' ( 43) |11111111|011 7fb [11] ',' ( 44) |11111010 fa [ 8] '-' ( 45) |010110 16 [ 6] '.' ( 46) |010111 17 [ 6] '/' ( 47) |011000 18 [ 6] '0' ( 48) |00000 0 [ 5] '1' ( 49) |00001 1 [ 5] '2' ( 50) |00010 2 [ 5] '3' ( 51) |011001 19 [ 6] '4' ( 52) |011010 1a [ 6] '5' ( 53) |011011 1b [ 6] '6' ( 54) |011100 1c [ 6] '7' ( 55) |011101 1d [ 6] '8' ( 56) |011110 1e [ 6] '9' ( 57) |011111 1f [ 6] ':' ( 58) |1011100 5c [ 7] ';' ( 59) |11111011 fb [ 8] '<' ( 60) |11111111|1111100 7ffc [15] '=' ( 61) |100000 20 [ 6]
'>' ( 62) |11111111|1011 ffb [12] '?' ( 63) |11111111|00 3fc [10] '@' ( 64) |11111111|11010 1ffa [13] 'A' ( 65) |100001 21 [ 6] 'B' ( 66) |1011101 5d [ 7] 'C' ( 67) |1011110 5e [ 7] 'D' ( 68) |1011111 5f [ 7] 'E' ( 69) |1100000 60 [ 7] 'F' ( 70) |1100001 61 [ 7] 'G' ( 71) |1100010 62 [ 7] 'H' ( 72) |1100011 63 [ 7] 'I' ( 73) |1100100 64 [ 7] 'J' ( 74) |1100101 65 [ 7] 'K' ( 75) |1100110 66 [ 7] 'L' ( 76) |1100111 67 [ 7] 'M' ( 77) |1101000 68 [ 7] 'N' ( 78) |1101001 69 [ 7] 'O' ( 79) |1101010 6a [ 7] 'P' ( 80) |1101011 6b [ 7] 'Q' ( 81) |1101100 6c [ 7] 'R' ( 82) |1101101 6d [ 7] 'S' ( 83) |1101110 6e [ 7] 'T' ( 84) |1101111 6f [ 7] 'U' ( 85) |1110000 70 [ 7] 'V' ( 86) |1110001 71 [ 7] 'W' ( 87) |1110010 72 [ 7] 'X' ( 88) |11111100 fc [ 8] 'Y' ( 89) |1110011 73 [ 7] 'Z' ( 90) |11111101 fd [ 8] '[' ( 91) |11111111|11011 1ffb [13] '\' ( 92) |11111111|11111110|000 7fff0 [19] ']' ( 93) |11111111|11100 1ffc [13] '^' ( 94) |11111111|111100 3ffc [14] '_' ( 95) |100010 22 [ 6] '`' ( 96) |11111111|1111101 7ffd [15] 'a' ( 97) |00011 3 [ 5] 'b' ( 98) |100011 23 [ 6] 'c' ( 99) |00100 4 [ 5] 'd' (100) |100100 24 [ 6] 'e' (101) |00101 5 [ 5] 'f' (102) |100101 25 [ 6] 'g' (103) |100110 26 [ 6] 'h' (104) |100111 27 [ 6] 'i' (105) |00110 6 [ 5] 'j' (106) |1110100 74 [ 7] 'k' (107) |1110101 75 [ 7] 'l' (108) |101000 28 [ 6] 'm' (109) |101001 29 [ 6]
'n' (110) |101010 2a [ 6] 'o' (111) |00111 7 [ 5] 'p' (112) |101011 2b [ 6] 'q' (113) |1110110 76 [ 7] 'r' (114) |101100 2c [ 6] 's' (115) |01000 8 [ 5] 't' (116) |01001 9 [ 5] 'u' (117) |101101 2d [ 6] 'v' (118) |1110111 77 [ 7] 'w' (119) |1111000 78 [ 7] 'x' (120) |1111001 79 [ 7] 'y' (121) |1111010 7a [ 7] 'z' (122) |1111011 7b [ 7] '{' (123) |11111111|1111110 7ffe [15] '|' (124) |11111111|100 7fc [11] '}' (125) |11111111|111101 3ffd [14] '~' (126) |11111111|11101 1ffd [13] (127) |11111111|11111111|11111111|1100 ffffffc [28] (128) |11111111|11111110|0110 fffe6 [20] (129) |11111111|11111111|010010 3fffd2 [22] (130) |11111111|11111110|0111 fffe7 [20] (131) |11111111|11111110|1000 fffe8 [20] (132) |11111111|11111111|010011 3fffd3 [22] (133) |11111111|11111111|010100 3fffd4 [22] (134) |11111111|11111111|010101 3fffd5 [22] (135) |11111111|11111111|1011001 7fffd9 [23] (136) |11111111|11111111|010110 3fffd6 [22] (137) |11111111|11111111|1011010 7fffda [23] (138) |11111111|11111111|1011011 7fffdb [23] (139) |11111111|11111111|1011100 7fffdc [23] (140) |11111111|11111111|1011101 7fffdd [23] (141) |11111111|11111111|1011110 7fffde [23] (142) |11111111|11111111|11101011 ffffeb [24] (143) |11111111|11111111|1011111 7fffdf [23] (144) |11111111|11111111|11101100 ffffec [24] (145) |11111111|11111111|11101101 ffffed [24] (146) |11111111|11111111|010111 3fffd7 [22] (147) |11111111|11111111|1100000 7fffe0 [23] (148) |11111111|11111111|11101110 ffffee [24] (149) |11111111|11111111|1100001 7fffe1 [23] (150) |11111111|11111111|1100010 7fffe2 [23] (151) |11111111|11111111|1100011 7fffe3 [23] (152) |11111111|11111111|1100100 7fffe4 [23] (153) |11111111|11111110|11100 1fffdc [21] (154) |11111111|11111111|011000 3fffd8 [22] (155) |11111111|11111111|1100101 7fffe5 [23] (156) |11111111|11111111|011001 3fffd9 [22] (157) |11111111|11111111|1100110 7fffe6 [23]
(158) |11111111|11111111|1100111 7fffe7 [23] (159) |11111111|11111111|11101111 ffffef [24] (160) |11111111|11111111|011010 3fffda [22] (161) |11111111|11111110|11101 1fffdd [21] (162) |11111111|11111110|1001 fffe9 [20] (163) |11111111|11111111|011011 3fffdb [22] (164) |11111111|11111111|011100 3fffdc [22] (165) |11111111|11111111|1101000 7fffe8 [23] (166) |11111111|11111111|1101001 7fffe9 [23] (167) |11111111|11111110|11110 1fffde [21] (168) |11111111|11111111|1101010 7fffea [23] (169) |11111111|11111111|011101 3fffdd [22] (170) |11111111|11111111|011110 3fffde [22] (171) |11111111|11111111|11110000 fffff0 [24] (172) |11111111|11111110|11111 1fffdf [21] (173) |11111111|11111111|011111 3fffdf [22] (174) |11111111|11111111|1101011 7fffeb [23] (175) |11111111|11111111|1101100 7fffec [23] (176) |11111111|11111111|00000 1fffe0 [21] (177) |11111111|11111111|00001 1fffe1 [21] (178) |11111111|11111111|100000 3fffe0 [22] (179) |11111111|11111111|00010 1fffe2 [21] (180) |11111111|11111111|1101101 7fffed [23] (181) |11111111|11111111|100001 3fffe1 [22] (182) |11111111|11111111|1101110 7fffee [23] (183) |11111111|11111111|1101111 7fffef [23] (184) |11111111|11111110|1010 fffea [20] (185) |11111111|11111111|100010 3fffe2 [22] (186) |11111111|11111111|100011 3fffe3 [22] (187) |11111111|11111111|100100 3fffe4 [22] (188) |11111111|11111111|1110000 7ffff0 [23] (189) |11111111|11111111|100101 3fffe5 [22] (190) |11111111|11111111|100110 3fffe6 [22] (191) |11111111|11111111|1110001 7ffff1 [23] (192) |11111111|11111111|11111000|00 3ffffe0 [26] (193) |11111111|11111111|11111000|01 3ffffe1 [26] (194) |11111111|11111110|1011 fffeb [20] (195) |11111111|11111110|001 7fff1 [19] (196) |11111111|11111111|100111 3fffe7 [22] (197) |11111111|11111111|1110010 7ffff2 [23] (198) |11111111|11111111|101000 3fffe8 [22] (199) |11111111|11111111|11110110|0 1ffffec [25] (200) |11111111|11111111|11111000|10 3ffffe2 [26] (201) |11111111|11111111|11111000|11 3ffffe3 [26] (202) |11111111|11111111|11111001|00 3ffffe4 [26] (203) |11111111|11111111|11111011|110 7ffffde [27] (204) |11111111|11111111|11111011|111 7ffffdf [27] (205) |11111111|11111111|11111001|01 3ffffe5 [26]
(206) |11111111|11111111|11110001 fffff1 [24] (207) |11111111|11111111|11110110|1 1ffffed [25] (208) |11111111|11111110|010 7fff2 [19] (209) |11111111|11111111|00011 1fffe3 [21] (210) |11111111|11111111|11111001|10 3ffffe6 [26] (211) |11111111|11111111|11111100|000 7ffffe0 [27] (212) |11111111|11111111|11111100|001 7ffffe1 [27] (213) |11111111|11111111|11111001|11 3ffffe7 [26] (214) |11111111|11111111|11111100|010 7ffffe2 [27] (215) |11111111|11111111|11110010 fffff2 [24] (216) |11111111|11111111|00100 1fffe4 [21] (217) |11111111|11111111|00101 1fffe5 [21] (218) |11111111|11111111|11111010|00 3ffffe8 [26] (219) |11111111|11111111|11111010|01 3ffffe9 [26] (220) |11111111|11111111|11111111|1101 ffffffd [28] (221) |11111111|11111111|11111100|011 7ffffe3 [27] (222) |11111111|11111111|11111100|100 7ffffe4 [27] (223) |11111111|11111111|11111100|101 7ffffe5 [27] (224) |11111111|11111110|1100 fffec [20] (225) |11111111|11111111|11110011 fffff3 [24] (226) |11111111|11111110|1101 fffed [20] (227) |11111111|11111111|00110 1fffe6 [21] (228) |11111111|11111111|101001 3fffe9 [22] (229) |11111111|11111111|00111 1fffe7 [21] (230) |11111111|11111111|01000 1fffe8 [21] (231) |11111111|11111111|1110011 7ffff3 [23] (232) |11111111|11111111|101010 3fffea [22] (233) |11111111|11111111|101011 3fffeb [22] (234) |11111111|11111111|11110111|0 1ffffee [25] (235) |11111111|11111111|11110111|1 1ffffef [25] (236) |11111111|11111111|11110100 fffff4 [24] (237) |11111111|11111111|11110101 fffff5 [24] (238) |11111111|11111111|11111010|10 3ffffea [26] (239) |11111111|11111111|1110100 7ffff4 [23] (240) |11111111|11111111|11111010|11 3ffffeb [26] (241) |11111111|11111111|11111100|110 7ffffe6 [27] (242) |11111111|11111111|11111011|00 3ffffec [26] (243) |11111111|11111111|11111011|01 3ffffed [26] (244) |11111111|11111111|11111100|111 7ffffe7 [27] (245) |11111111|11111111|11111101|000 7ffffe8 [27] (246) |11111111|11111111|11111101|001 7ffffe9 [27] (247) |11111111|11111111|11111101|010 7ffffea [27] (248) |11111111|11111111|11111101|011 7ffffeb [27] (249) |11111111|11111111|11111111|1110 ffffffe [28] (250) |11111111|11111111|11111101|100 7ffffec [27] (251) |11111111|11111111|11111101|101 7ffffed [27] (252) |11111111|11111111|11111101|110 7ffffee [27] (253) |11111111|11111111|11111101|111 7ffffef [27]
(254) |11111111|11111111|11111110|000 7fffff0 [27] (255) |11111111|11111111|11111011|10 3ffffee [26] EOS (256) |11111111|11111111|11111111|111111 3fffffff [30]